Advertisements
Advertisements
Question
Find the value of a, if 8a = 352 – 272
Advertisements
Solution
We have,
8a = 352 – 272
⇒ 8a = (35 + 27)(35 – 27) ...[Using the identity, a2 – b2 = (a + b)(a – b)]
⇒ 8a = 62 × 8
⇒ `a = (62 xx 8)/8`
⇒ a = 62
APPEARS IN
RELATED QUESTIONS
Expand: 102 x 98
Multiply the following:
(a2 – b2), (a2 + b2)
Using suitable identities, evaluate the following.
9.8 × 10.2
Using suitable identities, evaluate the following.
(35.4)2 – (14.6)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x2 – 9
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/25 - 625`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4 + x2 – y2
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
Verify the following:
`((3p)/7 + 7/(6p))^2 - (3/7p + 7/(6p))^2 = 2`
